Construction of WZ pairs by the extended Zeilberger algorithm

Mathematica Slovaca 2026

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Authors: Feng-Xin Ding, Yan-Ping Mu
DOI: 10.1515/ms-2025-1166
Cited by: 0
References: 29

Abstract

Abstract We introduce a method for constructing WZ (Wilf-Zeilberger) pairs using the extended Zeilberger algorithm. With this approach, we are able to give eleven WZ pairs corresponding to the identity (H.1) due to Van Hamme. Furthermore, we describe a technique for generating q -analogues of these WZ pairs.

Fields of Study & Subjects

Advanced Mathematical Identities Advanced Combinatorial Mathematics Mathematical functions and polynomials

Publication details

Journal / source
Mathematica Slovaca
Volume
76
Issue
1
Pages
179–190
Publication date
27 January 2026
Language
EN